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Cartesian Product

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (R=A\times A), which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (A={1,2,3}) and (R=A\times A), why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsWhy is the universal relation (A\times A) always symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Easy MathematicsIf (A={1,2}) and (R=A \times A), which pair will already be present for symmetry because of ((1,2))?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3,4}), (R=A\times A-{(1,1),(2,3),(4,4)}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3}), relation (R) contains all pairs of (A\times A) except ((1,1)) and ((2,2)). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3}) and (R=A\times A-{(2,2)}), choose the correct statement.Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3}) and (R=A\times A-{(2,2)}), what is the correct statement about (R)?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsOn A = {1, 2, 3}, let R = (A × A) \ {(2, 2)}. Which statement about R is correct?Class 12Relations and FunctionsReflexive relationLevel 9Medium MathematicsOn (A={1,2}), (R={(1,1),(2,2),(1,2)}). What is correct about the complement relation (R^c)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R=A\times A-{(1,2),(2,3)}). What is (R)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsIf a set (A) has 4 elements, what is the number of reflexive relations on (A)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsIf (R=A\times A) on (A={1,2}), which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Easy MathematicsLet (A={1,2,3}) and (R=A \times A). Will ((2,2)) be in (R)?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsIf (A) has (n) elements, how many total pairs are in (A \times A)?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsIf (R) is a reflexive relation on (A), then (R) will be a subset of what?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsOn a non-empty set (A), what kind of relation is the universal relation (A \times A)?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsIf (A) has (4) elements, how many total relations are possible on (A)?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (A={1,2,3}), what is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)})?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (A) has (n) elements, what is the total number of relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4Medium